InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1401. |
Factorise x^4_ 6x+ 18 |
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| 1402. |
∆def~∆abc if de:ab=2:3and ar(∆def) is 44 square units then find ar of ∆ abc |
| Answer» 99 square units | |
| 1403. |
Is root 5 is rational or irritation |
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Answer» Irrational number Irrational number Irrational Irrational number Irrational |
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| 1404. |
Hcf of 18 and 24 |
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Answer» 6 HCF of 18 and 24 is 6 HCF of these numbers is 6. The H.C.F of 18 and 24 is 6 |
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| 1405. |
Euclid\'s division lemma used for a |
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Answer» Proving other statement To Find hcf To find hcf of numbers |
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| 1406. |
what is ratinal numaber |
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Answer» The type of number which can be written in the form of [p/q] where q is not eual to zero [0]. ,known as rational number. Numbers which can be written in the form of p/q ,where p and q are integers and q is not equal to zero is called Rational number.Example:-2/4,5/2 Number which is equal to zero and can be written in the form of p/q Numbers which can be written in in form of p/q where q is not equal to zero. Do not make spelling mistakes. |
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| 1407. |
Find no which divides 1251,9377,15628and leave remainders 1,2,3 resp. |
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| 1408. |
multiplicative inverse of 0 |
| Answer» O | |
| 1409. |
Show that there is no positive integer n for which root n-1 |
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| 1410. |
If cos2theta =sin4theta , where 2theta and 4theta are acute angles,find the value of theta |
| Answer» Rur | |
| 1411. |
Find the value of k If x^2+5x+6+k=0 |
| Answer» P(x) = {tex}X^2 +5x+6+k=0{/tex}_(1)Putting the value 1 in (1)equation.P(1) = 1^2 +5*1+6+k=0= 1+5+6+k =0=6+6+k=012+k=0K= - 12 | |
| 1412. |
Btc 14.1 ka 7 no question |
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| 1413. |
88888888x +444444444y =√247984217 |
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| 1414. |
(1+tan theeta +sec theeta) (1+cot theeta -cosec theeta) = |
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| 1415. |
Which term of the AP 24,21,18,15,.......Is the first negative term? |
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Answer» Let nth term of the given AP be the first negative term.\xa0AP = 24 , 21 , 18\xa0Here,\xa0First term ( a ) = 24\xa0Commmon difference ( d ) = 21-24 = -4.Then , Tn <0=> { a + ( n - 1 ) × d } <0=> { 24 + ( n - 1 ) × -3 } <0=> 27 - 3n <0=> 27 < 3n=> 3n > 27=> n = 9.n = 10Hence,The 10th term is the first negative term of the given AP.\xa0 -3 -3 |
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| 1416. |
Prove root 2 is an irrational number |
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Answer» Let us assume √2 is rational number.a rational number can be written into he form of p/q√2=p/qp=√2qSquaring on both sidesp²=2q²__________(1).·.2 divides p² then 2 also divides p.·.p is an even numberLet p=2a (definition of even number,\'a\' is positive integer)Put p=2a in eq (1)p²=2q²(2a)²=2q²4a²=2q²q²=2a².·.2 divides q² then 2 also divides qBoth p and q have 2 as common factor.But this contradicts the fact that p and q are co primes or integers.Our supposition is false.·.√2 is an irrational number. It is given in ncert exampler in this app only. |
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| 1417. |
prove that:-tan1°.tan2°.tan3°-----------------------------.tan88°.tan89°=1 |
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| 1418. |
maths 10th book back |
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| 1419. |
Are 7×11×13+13 and 7×6×5×4×3×2×1×5 composite numbers? |
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Answer» Yes these are composite numbers Yes it is a composite number Yes, composite numbers Because they have more than two factors Yes |
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| 1420. |
3.6 |
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| 1421. |
Prove that the paralleogram circumscribing a circle is a rhombus |
| Answer» Given:-a circle with center O.a perellelogram ABCD touching the circle at points P, Q, R and S.To prove:- ABCD is rhombus.Proof :- a rhombus is a perellelogram with all sides equal.So, we have to prove all sides equal. In perellelogram ABCD,AB=CD & AD=BC, ( opposite sides of perellelogram are equal.)..................(01)From theorem 10.2, length of tangent drown from external point of circle are equal. Hence, AP = AS,........... (02)BP = BQ,............(03)CR = CQ, ............(04)DR = DS. ............(05)Adding equation (02) + (03) + (04) + (05) AP + BP + CR + DR = AS + BQ + CQ + DS (AP + BP)+(CR + DR) = (AS + DS)+(BQ + CQ) AB + CD = AD + BCBut from equation (01) : AB=CD & AD=BC AB + AB = AD + AD 2AB = 2AD AB = ADSo, AB = AD & AB=CD & AD=BC.So, AB = CD = AD = BC.So, ABCD is a perellelogram with all sides equal,There fore. ABCD is rhombus.Hence proved. | |
| 1422. |
For any positive integer n, prove that n3 - n is divisibleby 6. |
| Answer» N^3-n=n,[n2-n] | |
| 1423. |
Prove that the product of two consecutive positive integer is divisible by 2 |
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Answer» Koi bhi problem ho question dalo Let the 2 consecutive positive integer be x, x+1.Product of these consecutive integers be x(x+1).1. evenLet x=2kProduct = 2k(2k+1) From above equation it is clear that the product is divisible by 2.2. oddLet x=2k+1Product = (2k+1)[(2k+1)+1]From above equation it is clear that the product is divisible by 2 |
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| 1424. |
The quadratic equations X2-4X+K=0 Now find the k |
| Answer» The value of k will be 4 | |
| 1425. |
Height of cone |
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Answer» Hii anushka Q Represent by h |
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| 1426. |
Which of the following no.will completely divide tha value of (3^25+3^26+3^27+3^28)? |
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| 1427. |
Find the value of x^3+y^3+z^3-3xyz. If x+y+z=15 and x^2+y^2+z^2=51. |
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| 1428. |
[72-12÷3of 2 ]+(18-6) ÷4 |
| Answer» I think 13 | |
| 1429. |
I want answer for this question3{(-6) +20}+(-7+9) (2) -12 |
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Answer» I think answer is -126 Last ka thoda sahi se likh de |
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| 1430. |
Find a quadratic polynomial the sum and product of whose zeros are - 3 and 2 respectively |
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Answer» x+3x+2 X^2+3x+2 |
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| 1431. |
If the nth term of an AP is (2n+1).find the sum of firstn terms of the AP |
| Answer» Let, first term is A1=2×1+1 =3 Second term A2=2×3+1 =7Now, D=A2 - A1 D=7 - 3 D= 4Then, sum of first (n) terms Sn = n/2[2a+(n-1)d]Sn =n/2[2×3+(n-1)4]Sn=n/2[6+4n-4]Sn=n/2[2+4n]Sn=n ^2+n [Hence, Sn=n square +n] | |
| 1432. |
Prove. tanA+tanB÷cotA+cotB=tanAtanB |
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Answer» Can i give few more ques. In trigno.. Thanks ?? CotA=1/TanA and cotB=1/tanB TanA+TanB ÷(1/tanA+1/tanB)1/tanA+1/TanB=tanA+tanB ÷tanAtanB While dividing tanA+tanB cancels and the answer is TanATanB |
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| 1433. |
explain iota |
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Answer» Iota is an imaginary number iota represent imaginary number |
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| 1434. |
Basic math simple Peper |
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| 1435. |
Plz ans meme solve |
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| 1436. |
2, 7,12...... to 10term? |
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Answer» a¹⁰=a+(n-1)da¹⁰=2+(10-1)5a¹⁰=2+45a¹⁰=47 S10 = a + (n -1) d = 2 + ( 10-1) 5= 2 + 9 x5 = 2 + 45 = 47 |
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| 1437. |
Write the zeroes of polynomial x2+2x+1 |
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Answer» The zeroes of the polynomial are x=-1, -1. Answer is -1 |
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| 1438. |
solve: x/2 +2y/3 =11 and x-y/4 =3 |
| Answer» First make two linear equations 3x+4y=66 take it as eq1 (solve that same as like fractions )3×x+2y×2/6=11 Next eq no2 4x-y=12 4×x-y×1/4=3 Solve the two eqs 3x+4y=66 and 4x-y=12 multiply 4 for 1st eq and add to balance coeffiecient of y So we get x=6 and y=12 | |
| 1439. |
Given that HCF (3o6,657)=9 find lcm (306,657) |
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Answer» Answer is 22338 LCM(306,657)= (306*657)/9LCM= 657*39LCM is 25623 |
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| 1440. |
If a is 4 and Sn is 40 then find d |
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| 1441. |
for the following Arthemetic progression write the common difference 10,13,16,19 |
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Answer» 3 is common difference 3 3 is the common difference 3 is the common difference |
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| 1442. |
Show the graphical representation |
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Answer» Please write properly .... Kis chej ki |
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| 1443. |
Prove 5-√2 is irrational |
| Answer» It is a long process. Will tell you again sometime. | |
| 1444. |
use euclid division lemma to show that the cube ofvany positive integer is of the form 9m,9m+1or9m+8 |
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| 1445. |
Prove that √p and √q is irrational if p and q are prime number |
| Answer» Let us suppose that\xa0√p + √q\xa0is rational.\xa0Let\xa0√p + √q\xa0= a, where a is rational.\xa0=>\xa0√q\xa0= a –\xa0√p\xa0Squaring on both sides, we get\xa0q = a2\xa0+ p -\xa02a√p=>\xa0√p\xa0= (a2\xa0+ p - q)/2a, which is a contradiction as the right hand side is rational number, while√p\xa0is irrational.\xa0Hence,\xa0√p + √q\xa0is irrational.Read more on Brainly.in - https://brainly.in/question/2815918#readmore | |
| 1446. |
Find HCF of 237 and 417 by Euclid division Algorithm |
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| 1447. |
What is the exact meaning of Trignomatery |
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Answer» Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. Don\'t know |
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| 1448. |
In the adjoining factor tree (i) find the number m and m |
| Answer» Where is the ? | |
| 1449. |
If -1 is a zero of the polynomial f(x) x square -7x - 8 then calculate the other zero . |
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Answer» Thanks ? -1is zero of this polynomialSum of zeros = -b/aLet other zero be a-1+a=-(-7/1)-1+a=7a=7+1=8Other zero be 8VerifyPut in polynomial(8×8)-7(8)-8=064-56-8=064-64=00=0LHS=RHS. Done |
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| 1450. |
If a ,b ,y are the poly omial 2x3 + x2- 13x+6 then a,b,y are |
| Answer» Zeros or roots of polynomial | |